Solve from 21st till 24th question

​Q21. A steamer, going downstream in a river, covers the distance between two towns in 20 hours. Coming back upstream, it covers this distance in 25 hours. The speed of water is 4 km/h. Find the distance between the two towns.
 
    [ Hint : First find the speed of the steamer in still water.]

Q22. Ranjana's mother gave her Rs.245 for buying New Year cards. If she got some 10-rupee cards,  2 3  as many 5 rupee cards, and  1 5  as many 15 rupee cards, how many of each kind did she buy ?

Q23. The enrolment in a school this year is 552. This is an increase of 15% over last year's enrolment. How many were enrolled last year?


Q24. A fruit vendor buys some oranges at the rate of Rs. 5 per orange. He also an equal number of bananas at the rate of Rs.2 per banana. He makes a 20% profit on oranges and a 15% profit on bananas. At the end of the day, all the fruit is sold out. His total profit is Rs.390. Find the number of oranges purchased.
 

(21).Let the speed of steamer in still water = x km/hSpeed of stream = 4 km/hSpeed in downstream = x+4 km/hSpeed in upstream = x-4 km/hNow, according to question :distance travelled in upstream = distance travelled in downstreamx-4×25 = x+4×2025x - 100 = 20x + 805x = 180x = 36Now, distance between 2 towns = 25x-4 = 2536-4 = 25 × 32 = 800 km

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